Deleuze's Theory of Dialectical Ideas: The Influence of Lautman and Heidegger

Deleuze and Guattari Studies 13 (1):19-53 (2019)
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Abstract

In Différence et répétition, Deleuze's ontology is structured by his theory of dialectical Ideas or problems, which draws features from Plato, Kant, and classical calculus. Deleuze unifies these features through a theory of Ideas/problems developed by the mathematician and philosopher Albert Lautman. Lautman worked to explain the nature of the problems or dialectical Ideas mathematics engages and the solutions or mathematical theories endeavouring to understand them. Lautman drew upon Heidegger to do this. This article clarifies Deleuze's theory of dialectical Ideas/problems by analysing its debts to Lautman and Heidegger and demonstrates a Heideggerian influence on Deleuze via Lautman.

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References found in this work

Sein und Zeit.Martin Heidegger - 1928 - Annalen der Philosophie Und Philosophischen Kritik 7:161-161.
Contributions to philosophy (of the event).Martin Heidegger - 2012 - Bloomington: Indiana University Press. Edited by Richard Rojcewicz & Daniela Vallega-Neu.
Platonism in the Philosophy of Mathematics.Øystein Linnebo - forthcoming - Stanford Encyclopedia of Philosophy.
Spinoza Contra Phenomenology: French Rationalism From Cavaillès to Deleuze.Knox Peden - 2014 - Stanford, California: Stanford University Press.
On the essence of truth.Martin Heidegger - 1988 - In Martin Heidegger & Werner Brock (eds.), Existence and being. [U.S.]: Kampmann. pp. 274-287.

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